Object Selection options not showing in 2.8
Assuming that your problem is not fixed yet, and you are using the latest version of blender (Version 2.82):


If the header is missing like this

then just click on the arrow pointing down at the top-right of the viewport window to unhide it.


The texts were replaced by icons as shown below:




If the Header is missing and you can't find the arrow as shown

then right-click on one of the control buttons at the top of the viewport window to show a Options where you can find the "Header" options And activate the "Show Tool Settings" checkbox found as shown below.